Mass per volume density.
Carats per Cubic Millimeter to Troy ounces per Cup Converter — ct/mm3 to oz t/cup
Convert Carat per Cubic Millimeter (ct/mm3) to Troy ounce per Cup (oz t/cup) using the exact conversion factor (1 carat per cubic millimeter = 1,521.297687 troy ounce per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Troy ounces per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 200000 / 131.4667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Troy ounces per Cup
Carat per Cubic Millimeter and Troy ounce per Cup both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
troy ounces per cup = carats per cubic millimeter × 1521.29768657
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 troy ounce per cup equals 131.466708828 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-troy ounce per cup factor of 1521.29768657.
Simple example
1 ct/mm3 × 1521.297687 = 1,521.297687 oz t/cup
1 carat per cubic millimeter = 1,521.297687 troy ounces per cup.
Real-world example
1,000 ct/mm3 × 1521.297687 = 1,521,297.687 oz t/cup
1,000 carats per cubic millimeter = 1,521,297.687 troy ounces per cup.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Troy ounce per Cup (oz t/cup) |
|---|---|
| 0.1 ct/mm3 | 152.1297687 oz t/cup |
| 1 ct/mm3 | 1,521.297687 oz t/cup |
| 10 ct/mm3 | 15,212.97687 oz t/cup |
| 100 ct/mm3 | 152,129.7687 oz t/cup |
| 1,000 ct/mm3 | 1,521,297.687 oz t/cup |
| 10,000 ct/mm3 | 15,212,976.87 oz t/cup |
Reverse conversion: Troy ounce per Cup to Carat per Cubic Millimeter
1 oz t/cup × 0.0006573335441 = 0.0006573335 ct/mm3
1 troy ounce per cup = 0.0006573335 carats per cubic millimeter.
carats per cubic millimeter = troy ounces per cup × 0.000657333544138
For a page dedicated to this direction, see Troy ounce per Cup to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Troy ounce per Cup (oz t/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cup are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 1,521.297687 troy ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to troy ounce per cup?
Multiply the carat per cubic millimeter value by 1521.297687. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cup back to carat per cubic millimeter?
Use the reverse factor: 1 troy ounce per cup equals 0.0006573335 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a troy ounce per cup?
Troy ounce per Cup (oz t/cup) is a unit of density.
Is the carat per cubic millimeter to troy ounce per cup conversion exact?
Yes. Both carat per cubic millimeter and troy ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 1521.297687 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.